Variable Definitions

These variable definitions are as given in the ROMS documentation

Space and Time Variables

\(t\)

time

\(x,y\)

horizontal coordinates

\(z\)

vertical coordinate

Prescribed Inputs

\(h(x,y)\)

bottom depth

\(g\)

magnitude of gravity

\(f(x,y)\)

Coriolis parameter

\(\nu, \nu_\theta\)

molecular viscosity and diffusivity

Prognostic Variables

\(\vec{v} = (u,v,w)\)

velocity vector and x-, y-, z-components

\(T(x,y,z,t)\)

potential temperature

\(S(x,y,z,t)\)

salinity

\(\zeta(x,y,t)\)

surface elevation

Diagnostic Variables

\(\rho_0+\rho(x,y,z,t)\)

total in situ density

\(P\)

total pressure \(\approx -\rho_0 g z\)

\(\phi(x,y,z,t)\)

dynamic pressure \(\phi = (P/\rho_0)\)

\(K_m, K_C\)

vertical eddy viscosity and diffusivity

Additional terms

\(\cal{F}_u, \cal{F}_v, \cal{F}_C\)

forcing terms

\(\cal{D}_u, \cal{D}_v, \cal{D}_C\)

diffusive terms